Making use of HEALPix routines, smoothing by a user-defined instrumental Gaussian beam and computing the angular power spectrum of the maps are now possible.
Thus, a visual system with a dense array of noiseless photoreceptors could extract the angular velocity of an arbitrary image by computing the ratio of temporal and spatial derivatives (Potters and Bialek, 1994).
The method is tested by computing the collision operator with a suitably cut-off angular cross section and comparing the results with the solution of the Landau equation.
We computed the angular mean error (AME) between the directions θ of the mixing matrix A and its estimation.
We first computed the angular velocity A and the curvature C along the selected trajectory.
This was done by computing separately the relative angle of Chol pairs at a radial distance range of 0.8 1.1 nm in the different angular sectors defined above.
In (B ) and (C ), the asymmetry coefficient was computed from the angular histograms plotted in panel (A ).
The CLPRCC is computed by replacing linear variables by their ranks and angular variables by their circular ranks, 29, 30 and computing the circular-linear partial correlation coefficient (see Appendix for details).
For straight trajectories, we compute the change of angular velocity in different approaching velocities, approaching angular velocities, phases of rotation and impact parameters.
WormAnalyzer computes the speed and angular speed of worms and automatically discriminates between runs and turns (pirouettes) using an angular speed threshold [17], [31].
